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Finding the Fourth Proportional to 1,484.91, 2,223.23 and 750.89

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Solution

The fourth proportional to 1,484.91, 2,223.23 and 750.89 is: 1,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.91 : 2,223.23 = 750.89 : x
  2. Step 2: Convert to fraction form
    1,484.91/2,223.23 = 750.89/x
  3. Step 3: Cross multiply
    1,484.91x = 2,223.23 × 750.89
  4. Step 4: Simplify right side
    1,484.91x = 1,669,386.30
  5. Step 5: Solve for x
    x = 1,669,386.30/1,484.91
  6. Step 6: Final answer
    x = 1,124.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.